Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

miley23

  • one year ago

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 3, -13, and 5 + 4i A. f(x) = x4 - 8x3 - 12x2 + 400x - 1599 B. f(x) = x4 - 200x2 + 800x - 1599 C. f(x) = x4 - 98x2 + 800x - 1599 D. f(x) = x4 - 8x3 + 12x2 - 400x + 1599

  • This Question is Closed
  1. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    We have roots of x = 3, -13, and 5+4i. We're going to need a conjugate to 5+4i also, because the complex roots come in pairs, so that will be 5-4i. Now the roots are simply the places where the factors of the polynomial = 0, so we can write our factored polynomial as \[f(x) = (x-3)(x+13)(x-5-4i)(x-5+4i) = 0\] Now it's just some pencil-pushing to multiply that expression out to get f(x) = x^4 + more terms. I would suggest multiplying the (x-5-4i) and (x-5+4i) terms first, as doing so will eliminate the terms containing i (remember that i^2 = -1).

  2. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.